(edit after)
after re-reading maybe you meant the medical note is not dated within 10days and not delivery. if so i think thats fine. but again how late stage might be factor they consider
(end edited note)

we had 3 babies in last 7years. gave birth overseas for 2 of them.. almost all times we were not asked for doctor certificate. i think assessment is subjective... if u look large large preggy they might ask, my wife is small girl so.even at her 32nd week which was the most late stage pregnancy we travelled we were not asked.

having said that we had certificates handy at all times. also i would really avoid travelling so close to delivery... for us first baby arrived 3wk early with no warning in a very fast 2hr labour... so if you go in labour up in air you are really in trouble and risking your baby and wifes life... from this prospect you should really consider if you want to allow more leadtime to travel.

if you travel to give birth, i think do it 6 to 8wk before due date is better. if this is not travel tp give birth i would really avoid the trip fsctoring risk.